Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
1000110100001 = 61791731199623
BaseRepresentation
bin11101000110110110011…
…01010000111000100001
310112121110101121002021212
432203123031100320201
5112341211141200001
62043235542155505
7132153442405205
oct16433315207041
93477411532255
101000110100001
11356165095731
121419b2a22b95
137340503757c
1436596d06b05
151b0362637bb
hexe8db350e21

1000110100001 has 16 divisors (see below), whose sum is σ = 1035323496960. Its totient is φ = 965647725120.

The previous prime is 1000110099997. The next prime is 1000110100007. The reversal of 1000110100001 is 1000010110001.

It is a cyclic number.

It is not a de Polignac number, because 1000110100001 - 22 = 1000110099997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000110100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233876 + ... + 1433498.

It is an arithmetic number, because the mean of its divisors is an integer number (64707718560).

Almost surely, 21000110100001 is an apocalyptic number.

It is an amenable number.

1000110100001 is a deficient number, since it is larger than the sum of its proper divisors (35213396959).

1000110100001 is a wasteful number, since it uses less digits than its factorization.

1000110100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199936.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1000110100001 its reverse (1000010110001), we get a palindrome (2000120210002).

The spelling of 1000110100001 in words is "one trillion, one hundred ten million, one hundred thousand, one".

Divisors: 1 61 79 173 4819 10553 13667 833687 1199623 73177003 94770217 207534779 5780983237 12659621519 16395247541 1000110100001